erweitern 4/((t*(t+3)^5))

Lösung

erweitern

\frac{4}{( t \cdot ( t + 3 ) ^{5} )}

\frac{4}{t ^{6} + 15 t ^{5} + 90 t ^{4} + 270 t ^{3} + 405 t ^{2} + 243 t}

Schritte zur Lösung

\frac{4}{t ( t + 3 ) ^{5}}

(t + 3)^{5} = t^{5} + 15 t^{4} + 90 t^{3} + 270 t^{2} + 405 t + 243

= \frac{4}{t ( t ^{5} + 15 t ^{4} + 90 t ^{3} + 270 t ^{2} + 405 t + 243 )}

Multipliziere aus

t (t^{5} + 15 t^{4} + 90 t^{3} + 270 t^{2} + 405 t + 243) : t^{6} + 15 t^{5} + 90 t^{4} + 270 t^{3} + 405 t^{2} + 243 t

= \frac{4}{t ^{6} + 15 t ^{5} + 90 t ^{4} + 270 t ^{3} + 405 t ^{2} + 243 t}

e x p an d \frac{( t ^{2} ( c ^{2} - v ^{2} ) )}{c ^{2}}

e x p an d U (t - 3) e^{t - 3} cos (π t)

e x p an d 2 π (\frac{9 π}{4} - 12)

e x p an d 3 (x - 4 = - 1 - (3 x - 1))

e x p an d e^{e^{(1 + x)^{2}}}